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General Class of Continuous Variable Entanglement Criteria.

Martin Gärttner1,2,3,4, Tobias Haas5, Johannes Noll3

  • 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany.

Physical Review Letters
|October 28, 2023
PubMed
Summary
This summary is machine-generated.

We developed new entanglement criteria for continuous variable systems using the Husimi Q distribution. These versatile criteria detect states missed by other methods, even with experimental limitations.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Many-Body Systems

Background:

  • Entanglement is a key resource in quantum information processing.
  • Detecting entanglement in continuous variable systems is crucial for quantum technologies.
  • Existing entanglement criteria have limitations in detecting certain quantum states.

Purpose of the Study:

  • To introduce a general and versatile class of entanglement criteria for continuous variable systems.
  • To demonstrate the broad applicability of the proposed criteria.
  • To overcome limitations of existing methods in entanglement detection.

Main Methods:

  • Utilizing the Husimi Q distribution as the basis for the entanglement criteria.
  • Employing optimization over the set of all concave functions for generality.
  • Comparing the performance of the new criteria against established entropic and second moment criteria.

Main Results:

  • The proposed criteria encompass several known entropic and second moment criteria as special cases.
  • New families of entangled states were identified that are undetectable by commonly used criteria.
  • The criteria demonstrate robustness and advantages under realistic experimental constraints like finite detector resolution and measurement statistics.

Conclusions:

  • The developed criteria offer a powerful and general tool for entanglement detection in continuous variable systems.
  • These criteria provide enhanced capabilities for identifying entanglement, particularly in experimentally relevant scenarios.
  • The findings contribute to advancing the understanding and application of entanglement in quantum information science.